170400 has 72 divisors (see below), whose sum is σ = 562464. Its totient is φ = 44800.

The previous prime is 170393. The next prime is 170413. The reversal of 170400 is 4071.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

170400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2365 + ... + 2435.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2¹⁷⁰⁴⁰⁰ is an apocalyptic number.

170400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232).

170400 is an abundant number, since it is smaller than the sum of its proper divisors (392064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

170400 is a wasteful number, since it uses less digits than its factorization.

170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 170400 is about 412.7953488110. The cubic root of 170400 is about 55.4399968350.

Adding to 170400 its reverse (4071), we get a palindrome (174471).

The spelling of 170400 in words is "one hundred seventy thousand, four hundred", and thus it is an iban number.